`sqrt(?)+136=(5)/(8)` of 320

Options

A. 1936
B. 4624
C. 4196
D. 4096

Answer

To solve the equation \( \sqrt{?} + 136 = \frac{5}{8} \times 320 \), we will follow these steps:

### Step 1: Calculate \( \frac{5}{8} \times 320 \)

First, we need to find the value of \( \frac{5}{8} \) of 320.

\[ \frac{5}{8} \times 320 = \frac{5 \times 320}{8} \]

Calculating this gives:

\[ \frac{5 \times 320}{8} = \frac{1600}{8} = 200 \]

### Step 2: Substitute the value back into the equation

Now we substitute this value back into the original equation:

\[ \sqrt{?} + 136 = 200 \]

### Step 3: Isolate \( \sqrt{?} \)

Next, we isolate \( \sqrt{?} \) by subtracting 136 from both sides:

\[ \sqrt{?} = 200 - 136 \]

Calculating this gives:

\[ \sqrt{?} = 64 \]

### Step 4: Square both sides to find \( ? \)

Now, we square both sides to find the value of \( ? \):

\[ ? = 64^2 \]

Calculating \( 64^2 \):

\[ ? = 4096 \]

### Final Answer

Thus, the value of \( ? \) is \( 4096 \).

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